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Finding the Fourth Proportional to 12,383.83, 18,578.82 and 6,146.77

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Solution

The fourth proportional to 12,383.83, 18,578.82 and 6,146.77 is: 9,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.83 : 18,578.82 = 6,146.77 : x
  2. Step 2: Convert to fraction form
    12,383.83/18,578.82 = 6,146.77/x
  3. Step 3: Cross multiply
    12,383.83x = 18,578.82 × 6,146.77
  4. Step 4: Simplify right side
    12,383.83x = 114,199,733.41
  5. Step 5: Solve for x
    x = 114,199,733.41/12,383.83
  6. Step 6: Final answer
    x = 9,221.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.